Question

If it snows tomorrow, the probability is 05 that John will practice his trombone. If it does not snow tomorrow, there is only a 0.6 chance that John will practice. Suppose the chance of snow tomorrow is 70%. What is the probability that John will practice his trombone?

Answer 1

54 percent

Explanation:

The final probability is a weighted average of the going to play probabilities determined for each weather scenario:

P(John performs cello; provided that it rains) * P(it rains) + P(it rains) + P(it rains) + P(it rains) + P(it rains) +

If it doesn't rain, P(John plays cello) * P(it doesn't rain) =

0.54 = 0.6 * 0.7 + 0.4 * 0.3

The likelihood is 54 percent.